The mess in a restaurant can be measured by M(t). Assume

Last updated: 7/9/2022

The mess in a restaurant can be measured by M(t). Assume that M(0) = 0, the restaurant starts out each month completely clean. Over time the rate of change in the mess is proportional to (100-M). After 50 hours the restaurant had a mess index of 20. A completely messy restaurant has a value of 100. How many hours does it take for the restaurant to have a mess index of 90? A. 493.89 B. 516.27 C. 523.75 D. 548.31